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What does it mean for a matrix to be triangular?
A square matrix in which all the entries of the main diagonal are zero
What is term for square matrix with zero determinant?
diagonal
Example of commutative matrix?
The identity matrix, which is a square matrix with zeros everywhere except on the principal diagonal where they are all ones.
What is the minor of determinant?
The minor is the determinant of the matrix constructed by removing the row and column of a particular element. Thus, the minor of a34 is the determinant of the matrix which has all the same rows and columns, except for the 3rd row and 4th column.
What is the definition of a Hermitian matrix?
Hermitian matrix defined:If a square matrix, A, is equal to its conjugate transpose, A†, then A is a Hermitian matrix.Notes:1. The main diagonal elements of a Hermitian matrix must be real.2. The cross elements of a Hermitian matrix are complex numbers having equal real part values, and equal-in-magnitude-but-opposite-in-sign imaginary parts.
What is the definition of a diagonal matrix?
Diagonal Matrix A square matrix A which is both uper-triangular and lower triangular is called a diagonal matrix. Diagonal matrix is denoted by D.
Is the scalar matrix is always a identity matrix?
No. A scalar matrix is a diagonal matrix whose main diagonal elements are the same. Only if the diagonal elements are all 1 is it an identity matrix.
Is null matrix is diagonal matrix?
Yes.
What is the determinant of a 3x3 diagonal matrix?
It is the product of the three diagonal elements.
What is the trace of a matrix to a power?
It is the diagonal entries of the matrix raised to a power.
Is a matrix multiplied by its transpose diagonalisable?
It will be a square matrix and, to that extent, it is diagonalisable. However, the diagonal elements need not be non-zero. It will be a square matrix and, to that extent, it is diagonalisable. However, the diagonal elements need not be non-zero. It will be a square matrix and, to that extent, it is diagonalisable. However, the diagonal elements need not be non-zero. It will be a square matrix and, to that extent, it is diagonalisable. However, the diagonal elements need not be non-zero.
How do you Write A program in c language for checking a diagonal matrix?
Write a program in c++ that take input in a integer matrix of size 4*4 and find out if the entered matrix is diagonal or not.
What does it mean for a matrix to be triangular?
A square matrix in which all the entries of the main diagonal are zero
What is term for square matrix with zero determinant?
diagonal
What is scalene matrix?
A square matrix is said to be scalene Matrix if it has all principal diagonal elements equal and remaining all
Example of commutative matrix?
The identity matrix, which is a square matrix with zeros everywhere except on the principal diagonal where they are all ones.
What is strictly lower triangular matrix?
A strictly lower triangular matrix is a kind of (lower) triangular matrix. Term "lower" implies matrix has elements only in the lower half. The condition "strictly" implies that even the "diagonal" of such lower triangular matrix is populated with '0's. The strictly lower triangular matrix thus has '0's in its diagonal as well as the upper triangle part. In other words, a strictly lower triangular matrix is a lower triangular matrix minus its diagonal.
